SOLUTION: suppose a=0.505005000500005000005... continuing in this way with one more zero between each successive pair of 5's. is this number rational or irrational? explain briefly?

SOLUTION: suppose a=0.505005000500005000005... continuing in this way with one more zero between each successive pair of 5's. is this number rational or irrational? explain briefly?

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Question 172304: suppose a=0.505005000500005000005... continuing in this way with one more zero between each successive pair of 5's. is this number rational or irrational? explain briefly?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Irrational
It does not have a repeating pattern of digits.
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Cheers,
Stan H.
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